Essays on Pythagorean

Introduction

The thesis paper will reveal that Galileo’s notions of the sun’s stability and the earth’s movement illustrate the conflicting Science-Religion theory. Galileo supported Copernicus’s opinion about the sun’s stability and the movement of the earth strongly despite strong oppositions from the Holy Church. Although he depicted aspects of honesty concerning the opinions of the sun and the earththroughout his trial, the Holy Church still held otherwise and commanded to oppose his opinions.

Scientific Theory about Heavenly Bodies

According to scientists, heavenly bodies are not stationary but move in a circular motion. However, Philolaus, the Pythagorean, believes that “just like ...

As I sit down to write a few lines on my experience related to mathematics, I find myself at a loss to describe mathematics, as I understand. I have read that mathematics is a science related to numbers and their operations, measurements, and abstractions. This evokes memories of childhood and how I dreaded numbers. How I hated memorizing multiplication tables. When I was in elementary school, I failed to recite the multiplication tables and my teacher punished me. This had profound effect on my young psyche. She forced me to write the tables ten times because she felt that ...

The Pythagorean Theorem can be used to solve numerous real world problems involving right-angled triangles where the lengths of at least two sides are known. One of the areas the theorem can be applied is in construction by painters. Since painters use ladders to reach high walls, the Pythagorean theorem would assist them in determining how tall their ladder should be in order for its base to be safely placed away from the wall such that it is stable and does not tip over. The walls are perpendicular to the ground, and the ladder is a hypotenuse, and this ...

Pythagorean triples have been first mentioned in the second millennium BC by Babylonians. The triple consists of three positive integers a, b and c, which are related to each other by the Pythagorean theorem a2 + b2 = c2. Thus, they represent the length of the three sides of a right Pythagorean triangle. Primitive Pythagorean triples are the triples, which are co-prime, therefore the only common positive divisor is 1.

One of the methods for generating Pythagorean triples was proposed by Leonardo of Pisa. His technique uses consequent odd integers, such as 1 and 3, then add them together in order to generate the ...

Project

Introduction Mathematics consists of many implications that deal not only with abstract matters, but with the real world. One of such wonders, that can be explained mathematically, is the existence of a Pythagorean triangle. Invented many years ago, the Pythagorean Theorem describes the relationship of three integers in every right triangle, when the length of hypotenuse squared equals to the sum of the length of the sides: c² = a² + b²

Body

A Pythagorean triple is simply a set of three integers that are the sides of a perfect triangle, when one of the angles is 90 degrees, the right angle.

One of the prime triples is 3,4,5.

9+16 = 25 and ...